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Finding the Third Proportional to 308,477 and 466,604

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Solution

The third proportional to 308,477 and 466,604 is: 705,787.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,477 : 466,604 = 466,604 : x
  2. Step 2: Convert to fraction form
    308,477/466,604 = 466,604/x
  3. Step 3: Cross multiply
    308,477x = 466,604 × 466,604
  4. Step 4: Simplify right side
    308,477x = 217,719,292,816
  5. Step 5: Solve for x
    x = 217,719,292,816/308,477
  6. Step 6: Final answer
    x = 705,787.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.